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Finding the Fourth Proportional to 32,533, 44,895.57 and 17,629

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Solution

The fourth proportional to 32,533, 44,895.57 and 17,629 is: 24,328.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,533 : 44,895.57 = 17,629 : x
  2. Step 2: Convert to fraction form
    32,533/44,895.57 = 17,629/x
  3. Step 3: Cross multiply
    32,533x = 44,895.57 × 17,629
  4. Step 4: Simplify right side
    32,533x = 791,464,003.53
  5. Step 5: Solve for x
    x = 791,464,003.53/32,533
  6. Step 6: Final answer
    x = 24,328.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.